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The San Jose Sharks win any given game with probability 0.3694, based on 382 wins out of 1,034 games. Over an upcoming 12-game schedule, what is the expected number of wins?
AAbout 12.00 wins
BAbout 0.37 wins
CAbout 8.86 wins
DAbout 4.43 wins
Answer & Solution
Correct answer: D. About 4.43 wins
1. Let X = the number of wins in 12 games, so X ~ B(12, 0.3694).
2. The expected value of a binomial variable is μ = np.
3. μ = (12)(0.3694) ≈ 4.43 wins.
4. Option A mistakes the number of games played for the expected wins, and option D doubles the correct expectation.
_Source: OpenStax Introductory Statistics (CC BY 4.0), Ch 4 "Discrete Random Variables", section 4.3 Binomial Distribution_
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